Ask a New Question
Menu

Winona and Takoda are shopping for a present for their mother.

The chart shows several possible presents. There is no sales tax in the state where they live.

Present Cost ($) Discount (%) Total Paid
Power tools d 15% (+2)
Water skis d + 15 25% (+2)
Jewelry d – 5 10% (+2)


a. Write TWO expressions in terms of "d" to show how much Winona and Takoda would pay in total if they buy their mother the set of POWER TOOLS.

b. What PRESENT or item does the expression 0.90(d – 5) refer to?

c. Use the value d=$50. Calculate the Total Paid (+6pts see above) Column of EACH of the possible presents for the value of $50. Then star or circle the most economical or cheapest.

1 answer

Let's begin by addressing each part of your question step-by-step.

a. Expressions for Total Paid for POWER TOOLS

The cost of the power tools is \(d\) dollars, with a discount of 15%. The expression for the amount of discount is calculated as follows:

  1. Calculate the discount amount: \[ \text{Discount} = 0.15d \]

  2. Calculate the price after the discount: \[ \text{Price after Discount} = d - 0.15d = 0.85d \]

  3. Account for the additional cost of $2: \[ \text{Total Paid} = 0.85d + 2 \]

So, the expression for how much Winona and Takoda would pay in total if they buy the power tools is: \[ 0.85d + 2 \]

b. What the expression \(0.90(d - 5)\) refers to

The expression \(0.90(d - 5)\) refers to the Jewelry present. It indicates that the cost of the jewelry is \(d - 5\) dollars with a discount of 10%, thus reducing the price to \(90%\) of that amount.

c. Calculate Total Paid for Each Present with \(d = 50\)

Let's calculate the total paid for each present using \(d = 50\):

  1. Power Tools \[ \text{Total Paid} = 0.85(50) + 2 = 42.5 + 2 = 44.5 \]

  2. Water Skis

    • Cost: \(d + 15 = 50 + 15 = 65\)
    • Discount: 25% \[ \text{Total Paid} = (1 - 0.25)(65) + 2 = 0.75(65) + 2 = 48.75 + 2 = 50.75 \]

  3. Jewelry

    • Cost: \(d - 5 = 50 - 5 = 45\)
    • Discount: 10% \[ \text{Total Paid} = (1 - 0.10)(45) + 2 = 0.90(45) + 2 = 40.5 + 2 = 42.5 \]

Summary of Total Paid Calculations

  • Power Tools: $44.50
  • Water Skis: $50.75
  • Jewelry: $42.50

The most economical (cheapest) present:

Jewelry at $42.50 is the most economical option and should be starred or circled.